The article "Measuring and Understanding the Aging of Kraft Insulating Paperin Power Transformers" (IEEE electrical Insul. Mag. 1996:28-34) contained the followingobservations on degree of polymerization for paper specimens for which viscosity timeconcentration fell in a certain middle range:418 421 421 422 425 427 431 434 437 439 446 447 448 453 454 463 465a. It is plausible that the given sample observations were selected from a normal distribution?b. Calculate a two-sided 95% confidence interval for true average degree of polymerization (asdid the authors of the article). Does the interval suggest that 440 is a plausible value fortrue average degree of polymerization. What about 450? a. Use the first 20 duplicate observations in the data set below to construct Shewhart, Range,and Cusum charts. Plot the next ten observations and decide whether the process hasremained in control. Compare the purpose and performance of the three charts.b. Use the first 20 duplicate observations in the data set below to construct an MA(4) movingaverage chart and an EWMA chart for a = 0.6. Plot the next ten observations and decidewhether the process has remained in control. Compare the purpose and performance of thecharts.Observ._yiy?Observ.yiy?15.88 5.61165.70 5.9625.64 5.63174.90 5.6535.09 5.12185.40 6.7146.045.36195.32 5.6754.66 5.24204.86 4.346.5.58 4.50216.01 5.5776.07 5.41225.55 5.5585.316.30235.44 6.4095.48 5.83245.05 5.7210116.63 5.23256.04 4.625.28 5.91265.63 4.62125.97 5.81275.67 5.70135.82 5.19286.33 6.58145.745.41295.94 5.94155.97 6.60306.68 6.09

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Description: The article "Measuring and Understanding the Aging of Kraft Insulating Paperin Power Transformers" (IEEE electrical Insul. Mag. 1996:28-34) contained the followingobservations on degree of polymerization for paper specimens for which viscosity timec

a. To check whether the given sample observations follow normal distribution or not, plot the…

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The article "Measuring and Understanding the Aging of Kraft Insulating Paper in Power Transformers" (IEEE electrical Insul. Mag. 1996:28-34) contained the following observations on degree of polymerization for paper specimens for which viscosity time concentration fell in a certain middle range: 418 421 421 422 425 427 431 434 437 439 446 447 448 453 454 463 465 a. It is plausible that the given sample observations were selected from a normal distribution? b. Calculate a two-sided 95% confidence interval for true average degree of polymerization (as did the authors of the article). Does the interval suggest that 440 is a plausible value for true average degree of polymerization. What about 450?

The article "Measuring and Understanding the Aging of Kraft Insulating Paper in Power Transformers" (IEEE electrical Insul. Mag. 1996:28-34) contained the following observations on degree of polymerization for paper specimens for which viscosity time concentration fell in a certain middle range: 418 421 421 422 425 427 431 434 437 439 446 447 448 453 454 463 465 a. It is plausible that the given sample observations were selected from a normal distribution? b. Calculate a two-sided 95% confidence interval for true average degree of polymerization (as did the authors of the article). Does the interval suggest that 440 is a plausible value for true average degree of polymerization. What about 450?

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Topic Video

Question

The article "Measuring and Understanding the Aging of Kraft Insulating Paper
in Power Transformers" (IEEE electrical Insul. Mag. 1996:28-34) contained the following
observations on degree of polymerization for paper specimens for which viscosity time
concentration fell in a certain middle range:
418 421 421 422 425 427 431 434 437 439 446 447 448 453 454 463 465
a. It is plausible that the given sample observations were selected from a normal distribution?
b. Calculate a two-sided 95% confidence interval for true average degree of polymerization (as
did the authors of the article). Does the interval suggest that 440 is a plausible value for
true average degree of polymerization. What about 450?

a. Use the first 20 duplicate observations in the data set below to construct Shewhart, Range,
and Cusum charts. Plot the next ten observations and decide whether the process has
remained in control. Compare the purpose and performance of the three charts.
b. Use the first 20 duplicate observations in the data set below to construct an MA(4) moving
average chart and an EWMA chart for a = 0.6. Plot the next ten observations and decide
whether the process has remained in control. Compare the purpose and performance of the
charts.
Observ.
_yi
y?
Observ.
yi
y?
1
5.88 5.61
16
5.70 5.96
2
5.64 5.63
17
4.90 5.65
3
5.09 5.12
18
5.40 6.71
4
6.04
5.36
19
5.32 5.67
5
4.66 5.24
20
4.86 4.34
6.
5.58 4.50
21
6.01 5.57
7
6.07 5.41
22
5.55 5.55
8
5.31
6.30
23
5.44 6.40
9
5.48 5.83
24
5.05 5.72
10
11
6.63 5.23
25
6.04 4.62
5.28 5.91
26
5.63 4.62
12
5.97 5.81
27
5.67 5.70
13
5.82 5.19
28
6.33 6.58
14
5.74
5.41
29
5.94 5.94
15
5.97 6.60
30
6.68 6.09

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